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Finding the Fourth Proportional to 31,607.44, 47,413.89 and 8,233.88

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Solution

The fourth proportional to 31,607.44, 47,413.89 and 8,233.88 is: 12,351.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,607.44 : 47,413.89 = 8,233.88 : x
  2. Step 2: Convert to fraction form
    31,607.44/47,413.89 = 8,233.88/x
  3. Step 3: Cross multiply
    31,607.44x = 47,413.89 × 8,233.88
  4. Step 4: Simplify right side
    31,607.44x = 390,400,043.52
  5. Step 5: Solve for x
    x = 390,400,043.52/31,607.44
  6. Step 6: Final answer
    x = 12,351.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.